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3D hierarchical hp-FEM applied to elasto-acoustic modelling of layered porous media
KTH, School of Engineering Sciences (SCI), Aeronautical and Vehicle Engineering.
2005 (English)In: Journal of Sound and Vibration, ISSN 0022-460X, E-ISSN 1095-8568, Vol. 285, no 1-2, 341-363 p.Article in journal (Refereed) Published
Abstract [en]

This paper presents a 3-D hierarchical (p-version) finite element description of the solid displacement-fluid displacement form of Biot's equation for elasto-acoustic modelling of multiple-layered isotropic porous media. The convergence related to mesh refinement extensions for different orders of polynomial approximation is briefly discussed for a homogeneous foam. The highest computational efficiency for reasonable levels of the error in the low-frequency region was obtained for fourth-order polynomial finite element interpolations. The main focus is on coupling conditions and on the convergence of solutions to Biot's equations in cases with multiple layers having different material properties. Simulations of a two-layered porous material with low flow resistivity suggest slow convergence rate of the fluid displacement field close to the interface between the layers.

Place, publisher, year, edition, pages
2005. Vol. 285, no 1-2, 341-363 p.
Keyword [en]
National Category
Vehicle Engineering
URN: urn:nbn:se:kth:diva-13421DOI: 10.1016/j.jsv.2004.08.032ISI: 000229701800017ScopusID: 2-s2.0-18544381093OAI: diva2:325285
QC 20100618Available from: 2010-06-18 Created: 2010-06-18 Last updated: 2010-07-14Bibliographically approved
In thesis
1. Hierarchical finite element modelling of Biot's equations for vibro-acoustic modelling of layered poroelastic media
Open this publication in new window or tab >>Hierarchical finite element modelling of Biot's equations for vibro-acoustic modelling of layered poroelastic media
2004 (English)Doctoral thesis, comprehensive summary (Other scientific)
Abstract [en]

This thesis concerns three-dimensional finite element modelling of Biot's equations for elasto-acoustic modelling of wave propagation in layered media including porous elastic materials. The concept of hierarchical (p-version) finite elements are combined with various weak forms of Biot's equations. Computationally efficient methods providing accurate solutions of sound propagation in layered porous media are discussed. The research falls within the areas linear acoustics and numerical acoustics. Important applications of the developed methods may be found within vehicle interior acoustics, e.g. engineering design of damping treatment based on multiple layers of porous materials.

Place, publisher, year, edition, pages
Stockholm: KTH, 2004. xiv p.
Trita-AVE, ISSN 1651-7660 ; 2004:46
Engineering physics, finite element, hierarchical, Biot, porous material, vibro-acoustic, Teknisk fysik
National Category
Other Engineering and Technologies
urn:nbn:se:kth:diva-95 (URN)91-7283-927-9 (ISBN)
Public defence
2004-12-12, kollegiesalen, Valhallavägen 79, Stockholm, 14:15
QC 20100618Available from: 2004-12-10 Created: 2004-12-10 Last updated: 2012-03-13Bibliographically approved

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Hörlin, Nils-Erik
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